Determine the correlation coefficient, r, and the coefficient of determination, r2. Interpret the meaning of these values in the context of this problem.
Lab Assignment 5 Due November 30, 2021 Name ____________ 45 points
Please show your work on these problems; if you are using a calculator, show me what you entered into the calculator to determine your answers. You must include all five parts of the hypothesis testing process. Also remember to include a sentence of interpretation once you have completed the test.
- A statistics professor believes that students who have had statistics before have higher test scores than students who have not had statistics before. A random sample of her students shows the following scores on Test 1.
Had stats before
79 91 92 95 68 98 88 80 84 79
Not had stats before
77 89 83 88 59 86 89 95 96 90 75
At the .05 level of significance, is the professor’s claim supported? - A random sample of 12 males aged 12 – 16 was asked to state their height. Then each man’s height was measured. The data is shown below. At the .02 level, does the data suggest that there is a difference between reported height and measured height?
Reported height
68 71 63 70 71 60 65 64 54 63 66 72
Measured height
67.9 69.9 64.9 68.3 70.3 60.6 64.5 67 55.6 74.2 65 70.8
Medical researchers claim that there is a linear correlation between height (x) and shoe size (y). Use the class data table below to answer the following questions. - Draw a scatter plot of height vs shoe size for the females in the sample. Describe the correlation that seems to exist between the two variables.
- Determine the correlation coefficient, r, and the coefficient of determination, r2. Interpret the meaning of these values in the context of this problem.
- Determine the linear regression equation.
- Use the regression equation to answer these questions.
a. Your professor is 65.5” tall. Estimate her shoe size using the regression equation. b. One female student did not report her height but she said that her shoe size was 10. Estimate her height using the regression equation.
Height (in inches) Shoe size (American) 67 9 67 9 70 11 63 7 67 9 64 7.5 64 8 62 7 63 7 66 8.5
